🍋 pH Calculator

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Concentrations can be typed like 1e-3 for 0.001.

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📘 About the pH

pH measures how acidic or basic a solution is: pH = −log[H⁺], where [H⁺] is the hydrogen ion concentration in mol/L. Choose which value you know — [H⁺], [OH⁻], pH or pOH — and the calculator gives the other three.

Below pH 7 is acidic, 7 is neutral and above 7 is basic (alkaline), at 25 °C. For a strong acid like HCl, [H⁺] equals the acid's molarity; for a strong base like NaOH, [OH⁻] equals its molarity.

🧮 Formula

pH
pH = −log[H⁺]
pOH
pOH = −log[OH⁻]
At 25 °C
pH + pOH = 14
From pH
[H⁺] = 10^−pH

Where

  • [H⁺] = hydrogen ion concentration (mol/L)
  • [OH⁻] = hydroxide ion concentration (mol/L)
  • Kw = 1.0 × 10⁻¹⁴ at 25 °C
Weak acids don't ionise fully, so their [H⁺] is less than their molarity: use [H⁺] ≈ √(Ka × C).

✏️ Worked examples

0.001 M HCl

You enter
I know the[H⁺] concentration (mol/L)
Value0.001
You get
pH3
pOH11
[H⁺] (mol/L)0.001
[OH⁻] (mol/L)1e-11

A 0.001 M strong acid has pH 3.

Try this example →

0.01 M NaOH

You enter
I know the[OH⁻] concentration (mol/L)
Value0.01
You get
pH12
pOH2
[H⁺] (mol/L)1e-12
[OH⁻] (mol/L)0.01

[OH⁻] = 0.01 M gives pOH 2 and pH 12.

Try this example →

🧭 How to use this calculator

What you enter

  • I know the
  • ValueConcentrations can be typed like 1e-3 for 0.001.

What you get

  • pH
  • pOH
  • [H⁺] (mol/L)
  • [OH⁻] (mol/L)

💡 pH of everyday substances

  • Battery acid: about 0–1
  • Lemon juice: about 2
  • Vinegar: about 2.5–3
  • Pure water: 7
  • Blood: 7.35–7.45
  • Baking soda solution: about 8.5
  • Soap: about 9–10
  • Bleach: about 12.5

❓ Frequently asked questions

What is the formula for pH?

pH = −log₁₀[H⁺].

How do you find pH from pOH?

pH = 14 − pOH at 25 °C.

What is the pH of a neutral solution?

7 at 25 °C, where [H⁺] = [OH⁻] = 10⁻⁷ mol/L.

Can pH be negative?

Yes, for very concentrated strong acids where [H⁺] is above 1 mol/L.